Solve 2/3x+1/5=x/6+0.8

$$\frac { 2 } { 3 } x + \frac { 1 } { 5 } = \frac { x } { 6 } + 0.8$$

Solve for x

$$x=1.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,5,6.

$$20x+6=5x+24$$

Subtract 5x from both sides.

$$20x+6-5x=24$$

Combine 20x and -5x to get 15x.

$$15x+6=24$$

Subtract 6 from both sides.

$$15x=24-6$$

Subtract 6 from 24 to get 18.

$$15x=18$$

Divide both sides by 15.

$$x=\frac{18}{15}$$

Reduce the fraction \frac{18}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{6}{5}$$